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Finding the Third Proportional to 430,569 and 935,793

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Solution

The third proportional to 430,569 and 935,793 is: 2,033,840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,569 : 935,793 = 935,793 : x
  2. Step 2: Convert to fraction form
    430,569/935,793 = 935,793/x
  3. Step 3: Cross multiply
    430,569x = 935,793 × 935,793
  4. Step 4: Simplify right side
    430,569x = 875,708,538,849
  5. Step 5: Solve for x
    x = 875,708,538,849/430,569
  6. Step 6: Final answer
    x = 2,033,840.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.